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splitting set

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  • Set splitting — is a logical NP Complete problem which is defined as follows::: Instance : A finite set S and a collection C of finite subsets of S ;:: Query : Can the elements of S be colored with two colors, say red and green, so that no set X ∈ C has all… …   Wikipedia

  • Set splitting problem — In computational complexity theory, the Set Splitting problem is the following decision problem: given a family F of subsets of a finite set S, decide whether there exists a partition of S into two subsets S1, S2 such that all elements of F are… …   Wikipedia

  • Splitting field — In abstract algebra, a splitting field of a polynomial with coefficients in a field is a smallest field extension of that field over which the polynomial factors (or splits , hence the name) into linear factors. Contents 1 Definition 2 Facts 3 …   Wikipedia

  • Splitting lemma — In mathematics, and more specifically in homological algebra, the splitting lemma states that in any abelian category, the following statements for short exact sequence are equivalent. Given a short exact sequence with maps q and r: :0 ightarrow… …   Wikipedia

  • Splitting circle method — In mathematics, the splitting circle method is a numerical algorithm for the numerical factorization of a polynomial and, ultimately, for finding its complex roots. It was introduced by Arnold Schönhage in his 1982 paper The fundamental theorem… …   Wikipedia

  • Heegaard splitting — In the mathematical field of geometric topology, a Heegaard splitting is a decomposition of a compact oriented 3 manifold that results from dividing it into two handlebodies. The importance of Heegaard splittings has grown in recent years as more …   Wikipedia

  • Necklace splitting problem — In mathematics, and in particular combinatorics, the necklace splitting problem arises in a variety of contexts including exact division; its picturesque name is due to mathematicians Noga Alon [1] and Douglas B. West.[2] Suppose a necklace, open …   Wikipedia

  • HTTP response splitting — is a form of web application vulnerability, resulting from the failure of the application or its environment to properly sanitize input values. It can be used to perform cross site scripting attacks, cross user defacement, Web cache poisoning,… …   Wikipedia

  • Lane splitting — is a form of lane sharing in which the rider of a relatively narrow single track vehicle (i.e. a motorcycle or bicycle) travels in the unused space between two lines of moving or stationary vehicles. It may be legal or illegal, depending on local …   Wikipedia

  • Gift Splitting — A taxation rule that allows a married couple to split a gift s total value as if each contributed half of the amount. Gift splitting allows a couple to increase their total gift tax exemption amount by combining individual allowances. For gift… …   Investment dictionary

  • Cantor set — In mathematics, the Cantor set, introduced by German mathematician Georg Cantor in 1883 [Georg Cantor (1883) Über unendliche, lineare Punktmannigfaltigkeiten V [On infinite, linear point manifolds (sets)] , Mathematische Annalen , vol. 21, pages… …   Wikipedia

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